GCF of 2453/851, 5220/785
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2453/851, 5220/785 i.e 1/668035 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2453/851, 5220/785.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 2453/851,5220/785?
Given fractions are 2453/851,5220/785
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 2453/851,5220/785, numerators are 2453,5220
Denominators are 851,785
The GCF of 2453,5220 is 1 .
LCM of 851,785 is 668035.
The greatest common factor of 2453/851,5220/785 = [GCF of 2453,5220]/[LCM of 851,785]= 1/668035
Therefore, the GCF of 2453/851,5220/785 is 1/668035.
To find the highest common factor of 2453,5220, we have to find the factors of both numbers and list the highest common factor.
The factors of 2453 are 1, 11, 223, 2453
The factors of 5220 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 29, 30, 36, 45, 58, 60, 87, 90, 116, 145, 174, 180, 261, 290, 348, 435, 522, 580, 870, 1044, 1305, 1740, 2610, 5220
The HCF of 2453,5220 is 1.
Lets's calculate GCF of 2453,5220
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2453,5220 By Matching Biggest Common Factor Method
Now, list down the factors of 2453
:1,11,223,2453
Now, list down the factors of 5220
:1,2,3,4,5,6,9,10,12,15,18,20,29,30,36,45,58,60,87,90,116,145,174,180,261,290,348,435,522,580,870,1044,1305,1740,2610,5220
Greatest Common Factor
We found the factors 2453,5220 . The biggest common factor number is the GCF number.
So the greatest common factor 2453,5220 is 1.
Lets's calculate LCM of 851,785
Given numbers has no common factors except 1. So, there LCM is their product i.e 668035
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/668035
Therefore, the GCF of Fractions 2453/851,5220/785 is 1/668035
Least Common Multiple of 851,785 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 851,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(851,785) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(851,785) x common factors =1 x 1 = 1
LCM(851,785) = ( 851 × 785 ) / 1
LCM(851,785) = 668035 / 1
LCM(851,785) = 668035
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FAQs on GCF of Fractions of 2453/851, 5220/785
1. What is the HCF of 2453,5220?
The HCF of 2453,5220 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 2453/851, 5220/785?
Answer: GCF of Numerators as per given numbers 2453/851, 5220/785 is
GCF of Numerators i.e. for 2453,5220 is 1
LCM of denominators i.e. for 851,785 is 668035.
Thus, GCF of Fractions is 1/668035.Finally, GCF of Fractions for 2453/851, 5220/785 is 1/668035.